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Finding the Fourth Proportional to 1,102.22, 1,659.73 and 796.16

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Solution

The fourth proportional to 1,102.22, 1,659.73 and 796.16 is: 1,198.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.22 : 1,659.73 = 796.16 : x
  2. Step 2: Convert to fraction form
    1,102.22/1,659.73 = 796.16/x
  3. Step 3: Cross multiply
    1,102.22x = 1,659.73 × 796.16
  4. Step 4: Simplify right side
    1,102.22x = 1,321,410.64
  5. Step 5: Solve for x
    x = 1,321,410.64/1,102.22
  6. Step 6: Final answer
    x = 1,198.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.